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13223010420 = 22325377272731
BaseRepresentation
bin11000101000010011…
…10010000001110100
31021010112102112020200
430110021302001310
5204040042313140
610024035000500
7645451506534
oct142411620164
937115375220
1013223010420
115676054494
122690439130
131329654729
148d621b4c4
15525d04030
hex314272074

13223010420 has 144 divisors (see below), whose sum is σ = 41265614208. Its totient is φ = 3424861440.

The previous prime is 13223010403. The next prime is 13223010509. The reversal of 13223010420 is 2401032231.

13223010420 is a `hidden beast` number, since 1 + 3 + 2 + 230 + 10 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13223010393 and 13223010402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4840455 + ... + 4843185.

Almost surely, 213223010420 is an apocalyptic number.

13223010420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20632807104).

13223010420 is an abundant number, since it is smaller than the sum of its proper divisors (28042603788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13223010420 is a wasteful number, since it uses less digits than its factorization.

13223010420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13223010420 its reverse (2401032231), we get a palindrome (15624042651).

The spelling of 13223010420 in words is "thirteen billion, two hundred twenty-three million, ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 727 740 1110 1332 1454 1665 2181 2220 2731 2908 3330 3635 4362 5462 6543 6660 7270 8193 8724 10905 10924 13086 13655 14540 16386 21810 24579 26172 26899 27310 32715 32772 40965 43620 49158 53798 54620 65430 80697 81930 98316 101047 107596 122895 130860 134495 161394 163860 202094 242091 245790 268990 303141 322788 403485 404188 484182 491580 505235 537980 606282 806970 909423 968364 1010470 1210455 1212564 1515705 1613940 1818846 1985437 2020940 2420910 3031410 3637692 3970874 4547115 4841820 5956311 6062820 7941748 9094230 9927185 11912622 17868933 18188460 19854370 23825244 29781555 35737866 39708740 59563110 71475732 73461169 89344665 119126220 146922338 178689330 220383507 293844676 357378660 367305845 440767014 661150521 734611690 881534028 1101917535 1322301042 1469223380 2203835070 2644602084 3305752605 4407670140 6611505210 13223010420